the chemistry question:

v=0.465L
T=559.15K
P=112.496 kPa

Pv/t = Pv/t

112.kpa(0.465)/559.15 = (x)(0.464428)/(247.8)

x= 49.9 kPa

...i skipped conversion steps, but i'm pretty sure i did those right..

The largest error I see is the 237.8 for T2 and I can't figures how you obtained that value. The problem states that the temperature is colled by 38.3 C (not to that temperature); therefore, T2 is 559.15-38.3 = 520.85. That gets a value CLOSE to 105 (104.45 using your numbers in the last line). I would have used 101.325 for the conversions. In fact, I wouldn't have converted all those numbers but once. Try this.

P1V2/T1= P2V2/T2
844*465/559.15 = P2*464.428/520.85
P2 = 787.408 torr
(787.408/760)*101.325 = 104.979 which rounds to 105 kPa.

i had to convert 38.3 to kelvin... because i converted the initial T to kelvin.

Yes, but 273.15 - 38.3 = 234.85 K which isn't your 247 something. .

What you want is 559.15 K, the initial termperature, minus 38.3 (it is coled by that amount) = 520.85 K for T2.

thank you so much for your help, i know it wasn't that difficult, i think i just confused myself with the temperatures. i get the answer now.

You're welcome.

It seems like you have made a calculation in accordance with the ideal gas law, which states that PV/T = PV/T. However, to accurately assess your conversion steps, we would need more information regarding the units used in your calculations. If you have correctly converted the units for pressure (from kPa to Pa), volume (from L to m^3), and temperature (from K to Kelvin), then your conversion steps are likely correct.

For example, if you have converted the initial pressure value of 112.496 kPa to 112496 Pa, the final pressure value of 49.9 kPa to 49900 Pa, the volume of 0.465 L to 0.000465 m^3, and the temperature of 559.15 K to 559.15 Kelvin, then your calculation becomes:

112496 Pa * 0.000465 m^3 / 559.15 Kelvin = x * 0.000464428 m^3 / 247.8 Kelvin

Simplifying the equation further:

0.05233560576 Pa * m^3 / Kelvin = x * 0.000464428 m^3 / Kelvin

By cross-multiplying and solving for x:

x = (0.05233560576 Pa * m^3) / (0.000464428 m^3) ≈ 112877.14 Pa

Therefore, the approximate value of x is 112877.14 Pa.

Please note that these calculations assume you have correctly converted the units.